Factoring Polynomials

Factor the quadratic trinomial: x^2 + 5x + 6

• (x + 2)(x + 3)

• (x + 1)(x + 6)

• (x + 3)(x + 4)

• (x + 2)(x + 4)

Factor the quadratic trinomial: 2x^2 - 7x - 3

• (2x - 3)(x + 1)

• (2x - 1)(x + 3)

• (2x + 1)(x - 3)

• (2x + 3)(x - 1)

Factor the quadratic trinomial: 3x^2 + 10x + 8

• (sqrt(3)x + 4)(sqrt(3)x + 2)

• (3x + 4)(x + 2)

• (2x + 4)(x + 2)

• (3x + 8)(x + 1)

Factor the difference of squares: 16x^2 - 9

• (4x + 3)(4x - 4)

• (4x + 3)(4x + 3)

• (4x - 3)(4x + 3)

• (4x + 3)(4x - 3)

Factor the difference of squares: 25y^2 - 4

• (5y + 6)(5y - 6)

• (5y + 2)(5y - 2)

• (5y + 3)(5y - 3)

• (5y + 4)(5y - 1)

Factor by grouping: 2x^3 + 4x^2 + 3x + 6

• (2x^2 + 3)(x - 4)

• (2x^2 + 3)(x + 2)

• (2x^2 + 3)(x - 3)

• (2x^2 + 3)(x - 2)

Factor by grouping: 3x^3 - 6x^2 + 5x - 10

• (x - 2)(3x^2 + 5)

• (x + 2)(3x^2 + 5)

• (x - 2)(3x^2 - 5)

• (x + 2)(3x^2 - 5)

Factor using the GCF: 12x^2 + 18x

• 3x(4x + 6)

• 2x(6x + 9)

• 4x(3x + 2)

• 6x(2x + 3)

Factor using the GCF: 15x^3 - 10x^2 + 5x

• 5x(3x^2 - 2x + 1)

• 5x(3x^2 - 2x)

• 5x(3x^2 + 2x + 1)

• 5x(3x^2 - 2x - 1)

Factor special case: x^2 - 1

• (x + 1)(x + 1)

• (x + 1)(x - 1)

• (x - 2)(x + 1)

• (x + 1)(x + 2)